Pith Number

pith:IJ6YBMMK

pith:2012:IJ6YBMMKRIZCFS6DEJBNSHWMBL

not attested not anchored not stored refs pending

Unitary representations of real reductive groups

David A. Vogan Jr, Jeffrey Adams, Marc van Leeuwen, Peter Trapa

arxiv:1212.2192 v5 · 2012-12-10 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJ6YBMMKRIZCFS6DEJBNSHWMBL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:33:00.358765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

427d80b18a8a3222cbc32242d91ecc0add1b2dc5c40c35020c9f29b4ce2d568f

Aliases

arxiv: 1212.2192 · arxiv_version: 1212.2192v5 · doi: 10.48550/arxiv.1212.2192 · pith_short_12: IJ6YBMMKRIZC · pith_short_16: IJ6YBMMKRIZCFS6D · pith_short_8: IJ6YBMMK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IJ6YBMMKRIZCFS6DEJBNSHWMBL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 427d80b18a8a3222cbc32242d91ecc0add1b2dc5c40c35020c9f29b4ce2d568f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6a11ec7c44cb56d57bac1a51e32dd681f75878495c0e48dfde91279af35f0af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-12-10T20:29:50Z",
    "title_canon_sha256": "0fe70f5a1de02ac713123a5d63f0a4d0b390f4ff750654494d37cc570ea049a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2192",
    "kind": "arxiv",
    "version": 5
  }
}